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Orthogonal relational systems
The concept of orhogonality in ordered sets is generalized for an arbitrary binary relations. Relational systems with orthogonal relation are studied and characterized....
BA - Obecná matematika
- 2016 •
- Jx •
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Discrete Orthogonality of Bivariate Polynomials of A(2), C-2 and G(2)
We develop discrete orthogonality relations on the finite sets of the generalized Chebyshev nodes related to the root systems A2, C2 and G2. The orthogonality relations are consequences of orthogonalit...
Mathematics
- 2019 •
- Jimp •
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Jimp - Článek v periodiku v databázi Web of Science
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Normal orthogonality spaces
An orthogonality space is a set X together with a symmetric and irreflexive binary relation ⊥, called the orthogonality relation. A block partition of X is a partition of a maximal set of mutually orthogonal
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Linear orthogonality spaces as a new approach to quantum logic
The notion of an orthogonality space was recently rediscovered as an effective into account. In fact, an orthogonality space is simply a set endowed with a symmetric and irreflexive binary relation. If the rank is at least ...
Pure mathematics
- 2021 •
- D •
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D - Stať ve sborníku
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Nevanlinna extremal measures for polynomials related to q^-1-Fibonacci polynomials
. First, the q^{-1}-Fibonacci polynomials are related to a q-exponential function which allows an asymptotic analysis to be worked out. Second, related basic orthogonal polynomials are investigated with the emphasis on thei...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Systems with intensity-dependent conversion integrable by finite orthogonal
We present exact solutions of a class of models, which describe the parametric down conversion of photons. The Hamiltonians of this models are related to the classes of finite orthogonal polynomials. The spectra and explicit express...
BE - Teoretická fyzika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Discrete transforms and orthogonal polynomials of (Anti)symmetric multivariate sine functions
classes of the corresponding orthogonal polynomials generalize the formation of the Chebyshev polynomials of the second and fourth kinds. Continuous orthogonality relations rules, including the four Gaussian, are produced ...
Physical sciences
- 2018 •
- Jimp •
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Jimp - Článek v periodiku v databázi Web of Science
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Categories of orthogonality spaces
An orthogonality space is a set equipped with a symmetric and irreflexive binary relation. We consider orthogonality spaces with the additional property that any collection of mutually orthogonal elements gives ris...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Suborthogonality and Orthocentricity of Matrices
We present some results on submatrices of orthogonal and unitary matrices and their relation to so called orthocentric matrices. These are then completely characterized....
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Lamb Wave Mode Scattering Analysis on Adhesively Bonded Single Lap Joint using Modal Decomposition Method
the finite element method (FEM) with general orthogonality relation, and semi-analytical approach, combining the modal expansion technique and orthogonal property of Lamb wavesProblems related to scattering phenom...
Acoustics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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